Abstract
The correlation-function formula for the intrinsic viscosity of polymer solutions is established. It is shown that the intrinsic viscosity is made up of two parts, the first is the high-frequency-limiting viscosity Δη∞, independent of the frequency, and the second is the dependent part Δη(ω). The latter part is given by the time correlation of the “reduced flux.” The reduced flux is given by the averaged momentum flux with the conformation of the polymer chain fixed. The explicit expression of the reduced flux is calculated for the general model of the polymer chain, having constant bond length and constant bond angle, without using the metric tensor. It is also shown how to calculate the intrinsic viscosity based upon the stochastic local jump model.
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Doi, M., Okano, K. Correlation-Function Formula for the Intrinsic Viscosity of Polymer Solutions. Polym J 5, 216–226 (1973). https://doi.org/10.1295/polymj.5.216
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DOI: https://doi.org/10.1295/polymj.5.216
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Theory of the high-frequency limiting viscosity of a dilute polymer solution
Colloid and Polymer Science (1975)